Local coordinate rotation calculator

Calculate transformed local x/y coordinates with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use transformed local x/y coordinates to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Planar points JSON [[east,north],...]
[[100,200],[110,220]]
Origin easting
100
Origin northing
200
Local axes counterclockwise rotation (degrees)
30
Transformed local x/y coordinates
[[0,0],[18.6602540378,12.3205080757]]

Try another scenario

Planar points JSON [[east,north],...]
[[101,200],[110,220]]
Origin easting
100
Origin northing
200
Local axes counterclockwise rotation (degrees)
30
Transformed local x/y coordinates
[[0.866025403784,-0.5],[18.6602540378,12.3205080757]]
Calculation method

Calculation method

Transformed local x/y coordinates

Translate origin then rotate coordinates by negative axes rotation.

Symbols and units
a
Planar points JSON [[east,north],...]
b
Origin easting
c
Origin northing
d
Local axes counterclockwise rotation (degrees)

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • Calculation uses the entered values and stated mathematical model; quantities must use the labelled units. Supported limits: All required fields must be finite values of the exact declared type and within displayed bounds. Lists contain1–1000 finite numbers. JSON tables are numeric rectangular rows, at most100 rows and30 columns; individual tools have stricter shape/domain constraints. Translate origin then rotate coordinates by negative axes rotation.
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